12198978000 has 480 divisors, whose sum is σ = 48059007360. Its totient is φ = 2955744000.

The previous prime is 12198977969. The next prime is 12198978019. The reversal of 12198978000 is 87989121.

12198978000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6533067 + ... + 6534933.

It is an arithmetic number, because the mean of its divisors is an integer number (100122932).

Almost surely, 2^12198978000 is an apocalyptic number.

12198978000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12198978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24029503680).

12198978000 is an abundant number, since it is smaller than the sum of its proper divisors (35860029360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12198978000 is a wasteful number, since it uses less digits than its factorization.

12198978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 12198978000 in words is "twelve billion, one hundred ninety-eight million, nine hundred seventy-eight thousand".